SOLUTION: how would you factor 2m^2 - 18mn + 36n^2

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Question 631058: how would you factor 2m^2 - 18mn + 36n^2
Found 2 solutions by dfrazzetto, josmiceli:
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
2m^2 - 18mn + 36n^2
(2m - 6n)(m - 6n)
Check, multiply it out using FOIL:
(2m - 6n)(m - 6n)
2m^2 - 6mn - 12mn + 36n^2
2m^2 - 18mn + 36n^2

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
++2m%5E2+-+18m%2An+%2B+36n%5E2+=+0+
+m%5E2+-+9m%2An+%2B+18n%5E2+=+0+
+%28+m+-+6n+%29%2A%28+m+-+3n+%29+=+0+
check:
+m+=+6n+
+m+=+3n+
++2%2A%286n%29%5E2+-+18%2A%286n%29%2An+%2B+36n%5E2+=+0+
+2%2A36n%5E2+-+18%2A6n%5E2+%2B+36n%5E2+=+0+
+72n%5E2+-+108n%5E2+%2B+36n%5E2+=+0+
+108n%5E2+-+108n%5E2+=+0+
OK
You can check +m+=+3n+